Question: 5.97 Let X be a continuous random variable having probability density function f (x) = 2 e2 x for x > 0 0 elsewhere (a)

5.97 Let X be a continuous random variable having probability density function f (x) = 2 e−2 x for x > 0 0 elsewhere

(a) Find the moment generating function.

(b) Obtain E(X) and E(X2) by differentiating the moment generating function.

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